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Finding the Third Proportional to 119 and 167.38

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Solution

The third proportional to 119 and 167.38 is: 235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 167.38 = 167.38 : x
  2. Step 2: Convert to fraction form
    119/167.38 = 167.38/x
  3. Step 3: Cross multiply
    119x = 167.38 × 167.38
  4. Step 4: Simplify right side
    119x = 28,014.39
  5. Step 5: Solve for x
    x = 28,014.39/119
  6. Step 6: Final answer
    x = 235.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.